Quadratic Equations Worksheet Page 11

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− =
+
+ =
2
2
11. y
2
y
1 0
12. x
2
x
8 0
+
=
y +
=
2
(
x
4
)(
x
2
)
0
(
1
)
0
+ =
− =
+ =
y
1 0
x
4 0
x
2 0
= − −
=
= −
y
1 1
,
x
4
x
2
+ =
+ = −
2
2
13. x
4 0
14. x
x
1
− ±
0
0 4 1 4
( )( )
+ + =
x =
2
x
x
1 0
2
( )( )
− ±
1
1 4 1 1
16
= ±
=
x
x
( )
2
2 1
− ± −
1
3
=
x
2
+
− =
=
2
2
15. 9
y
6
y
8 0
16. y
25 0
− ±
6
36 4 9
( )(
8
)
+
=
x =
(
y
5
)(
y
5
)
0
2 9
( )
− =
+ =
− ±
y
5 0
y
5 0
6
324
=
=
= −
y
5
y
5
18
− ±
6 18
=
18
+
6 18
6 18
=
=
x
x
18
18
2
4
=
=
x
x
3
3
4
1
+ =
= −
2
18. x
17. 6
y
13
y
6 0
3
x
3
=
− = −
2
(
3
y
2 2
)(
y
3
)
0
3
x
4
x
+ − =
2
3
x
x
4 0
− =
− =
3
y
2 0
2
y
3 0
+
=
(
3
x
4
)(
x
1
)
0
2
3
=
=
y
y
3
2
+ =
3
x
4 0
− =
x
1 0
4
= −
=
x
x
1
3

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